Question

multiply: 2\frac{1}{2}×1\frac{2}{4}
provide an answer as a simplified proper fraction or mixed num

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ and $1\frac{2}{4}=\frac{1\times4+2}{4}=\frac{6}{4}=\frac{3}{2}$

Step2: Multiply the improper fractions

$\frac{5}{2}\times\frac{3}{2}=\frac{5\times3}{2\times2}=\frac{15}{4}$

Step3: Convert to mixed - number

$\frac{15}{4}=3\frac{3}{4}$

Answer:

$3\frac{3}{4}$